Q: What are the prime factors of the number 3,014,445?

 A: 3, 5, 7, 19, 1511

Why are those the prime factors of the number 3,014,445?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 3,014,445

3,014,445
Factor Arrows
31,004,815
Factor Arrows
5200,963
Factor Arrows
728,709
Factor Arrows
191,511

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 5, 7, 19, 1511

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 19 x 1,511 = 3,014,445

This can also be written as 31 x 51 x 71 x 191 x 1,5111 = 3,014,445

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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